AP associates J with "Levitical order."
The Hermetic and Alchemical Writings of Aureolus Philippus Theophrastus Bombast, of Hohenheim, Called Paracelsus the Great: Now for the First Time Faithfully Translated Into English, trans. Arthur Edward Waite (London: James Eliot and Co., 1894), 192
To the planet Jupiter are subject all judgment and laws, the whole Levitical order, the decorations of temples...